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The differential equation of motion of ship is given by M d2x/dt2 + C dx/dt +...

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Advance Math

The differential equation of motion of ship is given by Md2x/dt2 + C dx/dt + Kx = F + F2*exp(-2t). t >0.

when M = 4.8, C = 3, K = 5, F = 3.8, F2 = 3, x(t=0)=1 and dx/dt(t=0)= 1.

Find:

a)the order of X(s) and the number of poles & Find all polesof X(s)

b)Determine the stability of system.

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